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首页> 外文期刊>Journal of Computational Physics >Fully implicit 1D radiation hydrodynamics: Validation and verification
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Fully implicit 1D radiation hydrodynamics: Validation and verification

机译：完全隐式一维辐射流体动力学：验证和验证

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摘要

A fully implicit finite difference scheme has been developed to solve the hydrodynamic equations coupled with radiation transport. Solution of the time-dependent radiation transport equation is obtained using the discrete ordinates method and the energy flow into the Lagrangian meshes as a result of radiation interaction is fully accounted for. A tridiagonal matrix system is solved at each time step to determine the hydrodynamic variables implicitly. The results obtained from this fully implicit radiation hydrodynamics code in the planar geometry agrees well with the scaling law for radiation driven strong shock propagation in aluminium. For the point explosion problem the self similar solutions are compared with results for pure hydrodynamic case in spherical geometry. Results obtained when radiation interaction is also accounted agree with those of point explosion with heat conduction for lower input energies. Having, thus, benchmarked the code, self convergence of the method w.r.t. time step is studied in detail for both the planar and spherical problems. Spatial as well as temporal convergence rates are ?1 as expected from the difference forms of mass, momentum and energy conservation equations. This shows that the asymptotic convergence rate of the code is realized properly.
机译：已经开发出一种完全隐式的有限差分方案来求解与辐射传输耦合的流体力学方程。使用离散坐标法获得了与时间有关的辐射输运方程的解，并充分考虑了由于辐射相互作用而流入拉格朗日网格的能量。在每个时间步求解三对角矩阵系统，以隐式确定流体力学变量。从平面几何中的这种完全隐式的辐射流体力学代码获得的结果与铝引起的辐射驱动的强烈冲击传播的缩放定律非常吻合。对于点爆炸问题，将自相似解与球形几何中纯流体动力情况的结果进行比较。还考虑了辐射相互作用时获得的结果与具有较低传导能量的热传导点爆炸的结果一致。因此，已经对代码进行了基准测试，方法w.r.t.的自我收敛。对于平面和球形问题，都对时间步长进行了详细研究。正如质量，动量和能量守恒方程的不同形式所预期的，空间和时间收敛速度为？1。这表明该代码的渐近收敛速度可以正确实现。

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